Consider this system of linear equations:y = –3x + 5y = mx + bWhich values of m and b will create a system of linear equations with no solution?

A system of two linear equations has no solution when the lines are parallel but have different y-intercepts. The first line is y = −3x + 5, so the second line must have the same slope, m = −3, and a different intercept, b ≠ 5. Choice A has m = −3 and b = −3, so the lines are parallel and never intersect.

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